Finding the Third Proportional to 20,858 and 31,464

Step by Step Solution

1. Step 1: Write the proportion equation
   20,858 : 31,464 = 31,464 : x
2. Step 2: Convert to fraction form
   20,858/31,464 = 31,464/x
3. Step 3: Cross multiply
   20,858x = 31,464 × 31,464
4. Step 4: Simplify right side
   20,858x = 989,983,296
5. Step 5: Solve for x
   x = 989,983,296/20,858
6. Step 6: Final answer
   x = 47,463.00